How do I calculate the phase difference for this?

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SUMMARY

The discussion focuses on calculating the phase difference of light reflecting off a thin film with a thickness of 0.500μm and a refractive index of 2.5, when illuminated by light of wavelength 100nm. The phase difference is determined using the formula phase difference = (2π * deltaL) / lambda, where deltaL represents the optical path difference. Participants emphasize the importance of understanding the phase change of a wave between two wavefronts and the need for clarity in the calculations involved.

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  • Understanding of wave optics principles
  • Familiarity with the concept of phase difference
  • Knowledge of refractive indices and their impact on light behavior
  • Proficiency in using trigonometric functions for vector addition
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Students studying optics, physicists working with wave phenomena, and engineers involved in designing optical systems will benefit from this discussion.

Daniel Pinto
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Homework Statement


Light with wavelength 100nm is incident perpendicularly from air on a film 0.500μm thick
and with refractive index 2.5. Part of the light is reflected from the first surface of the film,
and part enters the film and is reflected back at the second surface, where the film is again
in contact with air. What is the phase difference?

Homework Equations


phase difference = (2pi*deltaL)/lambda

The Attempt at a Solution


found the angle then added the vectors, used cosine rule and got an answer similar to it.
 
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Daniel Pinto said:

Homework Statement


Light with wavelength 100nm is incident perpendicularly from air on a film 0.500μm thick
and with refractive index 2.5. Part of the light is reflected from the first surface of the film,
and part enters the film and is reflected back at the second surface, where the film is again
in contact with air. What is the phase difference?

Phase difference between what two things?

Daniel Pinto said:

Homework Equations


phase difference = (2pi*deltaL)/lambda

This is the phase change of a wave between two wavefronts delta L distance apart.

Daniel Pinto said:

The Attempt at a Solution


found the angle then added the vectors, used cosine rule and got an answer similar to it.
What angle did you find and what vectors did you add an why? And the answer was similar, to what? Show your work and result, please.
 

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